Find the LCM of 814, 981, 604, 200, 330 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 814, 981, 604, 200, 330. So, keep reading to learn more.
Given numbers are 814,981,604,200,330
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 814,981,604,200,330 is 12057863400.
Find LCM of 814,981,604,200,330 with Prime Factorization
2 | 814, 981, 604, 200, 330 |
2 | 407, 981, 302, 100, 165 |
3 | 407, 981, 151, 50, 165 |
5 | 407, 327, 151, 50, 55 |
11 | 407, 327, 151, 10, 11 |
37, 327, 151, 10, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 37 x 327 x 151 x 10 x 1 = 12057863400
Therefore, the lowest common multiple of 814,981,604,200,330 is 12057863400.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
814 x 981 x 604 x 200 x 330 = 31832759376000
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
814 : 1, 2, 11, 22, 37, 74, 407, 814
981 : 1, 3, 9, 109, 327, 981
604 : 1, 2, 4, 151, 302, 604
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,981,604,200,330, is 1.
Now, the common factors can be found like this.
814:2x 11x 37
981:3x 3x 109
604:2x 2x 151
200:2x 2x 2x 5x 5
330:2x 3x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3x 5x 11 = 2640
Therefore, the value for common factors is 2640.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 31832759376000/(1x2640)
LCM = 31832759376000/2640
LCM = 12057863400
Thus, we can understand that the LCM of 814,981,604,200,330 is 12057863400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 814, 981, 604, 200, 330?
Answer: LCM of 814, 981, 604, 200, 330 is 12057863400.
2. How to calculate the LCM of 814, 981, 604, 200, 330?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 814, 981, 604, 200, 330.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.